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Q: A 30o angle cuts off an arc in a circle with a diameter of 10 in?
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What is the angle of a clock when the hands read 1 o'clock?

30o


Circle fits in a triangle and makes tangent with three sides of triangle if one corner of triangle is 30 degrees what is arc of contact of circle for that triangle corner?

This problem can only be solved in terms of the radius or the diameter of the inscribed circle.Arc length = 5.pi.d/12 = 10.pi.r/12 = (0.833333)pi.r.This can be solved by realizing that the triangle is inherently isosceles. One must also assume that there is only one 30o angle in the triangle, meaning the peak angle of the isosceles triangle is 30o. Imagine then that there are two radial lines extending from the center of the circle to each of the two tangent points of the equal sides of the triangle. The angle between these lines can be seen to be 150o. Therefore, the arc contained between these lines is 150/360 of the circle. Since circumference is equal to pi.d, the above equation can be derived.


If two angles are supplementary and one of them is 30 what is the measurement of the second angle?

The sum of 2 supplementary angles is 180o. If one is 30o, the other is 150o - 30o = 150o.


What is the symbol used to denote a measure of an angle?

When people use degrees, they either use "degrees" as in 30 degrees, or the little circle as in 30o. For Radians, they might say radians or possibly R or Rad.


What is the formula for a 30 60 90 triangle?

In a 30-60-90 triangle, the measure of the hypotenuse is two times that of the leg opposite the 30o angle. The measure of the other leg is SQRT(3) times that of the leg opposite the 30o angle.


If a base of an isosceles triangle is 75 degrees What is the measure of the vertex angle?

30o


What are complimentary angles?

A complementary angle is the angle that would create a right angle when added on to the original angle. So, if you had an angle of 60o, the complementary angle would be 30o


What type of angle is 30o acuterightobtuse or reflex?

A 30 degree angle is acute because it is greater than 0 but less than 90 degrees


If the side opposite a 30 angle in a right triangle is 12.5 meters how long is the hypotenuse?

The sine of the angle will be equal to the opposite side divided by the hypotenuse in a right triangle:sin (30o) = 12.5 m / hypotenusehypotenuse = 12.5 / sin (30o)hyp. = 12.5m/0.5hyp. = 25 meters


What is arcsine?

The arcsine is the angle whose sine is equal to the given value. arcsine is also called sine inverse (sin-1 ) if sin 30o = 1/2 , then sin-1 1/2 = 30o


Vertex angle of regular 12 gon measures 144 degrees?

No: The sum of the exterior angles of a polygon is 360o. For a dodecagon (12 sides) the exterior angle is 360o / 12 = 30o. The interior and exterior angles are supplementary and so they sum to 180o; thus the interior angle of a dodecagon is 180o - 30o = 150o. For an interior angle of 144o, the exterior angle is 180o - 144o = 36o, so there are 360o / 36o = 10 sides (a decagon).


In a triangle the second angle is twice the first angle and the third angle is 20 less than the first angle find the measure of all three angles?

Remember the sum of the 3 angles of a triangle = 180degrees Let angle 1 = x angle 2 = 2x angle 3 = x-20 Sum = x + 2x + x - 20 =180o 4x - 20 = 180o 4x = 200o x = 50o 2x = 100 o x - 20 = 30o angle 1 = 50o angle 2 = 100 o angle 3 = 30o